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DiKsa [7]
3 years ago
9

Diego can type 140 in 4 minutes

Mathematics
2 answers:
scoray [572]3 years ago
8 0

Answer:

1. He will take 11 minutes to type 385

2. He can type 525 words in 15 minutes

Step-by-step explanation:

1. Since he can type 140 words in 4 minutes, he can type 35 words in one minute. So 385 words, if typed at 35 words per minute, would be typed in 11 minutes since 385/35=11.

2. 15 minutes times 35 words per minute is equal to 525 words.

oksano4ka [1.4K]3 years ago
5 0

Answer:

11 min and 525 words

Step-by-step explanation:

I put 140 words/ 4 mins and simplified it to 35 words /1 min

Doing so i plug in what was given and used cross multiply and divid :D

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2. The path of a high diver is given by y = + (2x2 – 9x – 56), where y is the height of the diver
timofeeve [1]

Answer:

The diver will be 8 feet from the end of the board when he hits the water.

Step-by-step explanation:

The diver hits the water when y = 0.

To find the distance, we have to find the values of x when y = 0.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = (x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this problem, we have that:

y = 2x^{2} - 9x - 56

2x^{2} - 9x - 56 = 0

So

a = 2, b = -9, c = -56

Then

\bigtriangleup = b^{2} - 4ac = (-9)^{2} - 4*2(-56) = 529

x_{1} = \frac{-(-9) + \sqrt{529}}{2*2} = 8

x_{2} = \frac{-(-9) - \sqrt{529}}{2*2} = -3.5

It is a horizontal distance, so the answer is a positive value.

The diver will be 8 feet from the end of the board when he hits the water.

7 0
3 years ago
High population density can cause increased competition for resources such as food or shelter, while a low population density ca
krek1111 [17]

Answer:

The region with the highest population density is Binky Lee

The region with the lowest population density is Cheslen

Step-by-step explanation:

we know that

The <u><em>population density</em></u> is the number of people per unit of area

so

Find out the population density for each region

<em>Bear Creek</em>

\frac{462}{112}= 3.70\ people/acre

<em>Binky Lee</em>

\frac{12,624}{3,412}= 4.13\ people/acre

<em>Cheslen</em>

\frac{3,537}{1,263}= 2.80\ people/acre

<em>Crow's Nest</em>

\frac{2,142}{612}= 3.5\ people/acre

so

Cheslen < Crow's Nest < Bear Creek < Binky Lee

therefore

The region with the highest population density is Binky Lee

The region with the lowest population density is Cheslen

4 0
3 years ago
Read 2 more answers
Use commutative property of addition to collect like terms 23y-(7x-2y)+x
oksano4ka [1.4K]
The like terms are 23y & 2y and 7x & x because they have the same variables
5 0
3 years ago
Calcula el lado y el área de un poligono regular 12 lados sabiendo que su radio es de 7,727dmy su apotema de 7,464
Vika [28.1K]

Answer:

L=3.999 \: dm

A=183.4581\:dm^{2}

Step-by-step explanation:

La relación del apotema y el lado de un dodecágono regular está dada por la siguiente ecuación:

a_{p}=L\frac{2+\sqrt{3}}{2}

Sabiendo que la apotema es 7.464 el lado sera:

L=\frac{2*a_{p}}{2+\sqrt{3}}

L=\frac{2*7.464}{2+\sqrt{3}}

L=3.999 \: dm

Por otro lado el area de un dodecágono regular esta dada por:

A=6a_{p}L

A=6*7.646*3.999

A=183.4581\:dm^{2}

Espero te haya sido de ayuda!

7 0
3 years ago
If 4 people are going to share 14.8 ounces of cheese. How much will each person get?
Licemer1 [7]
Each person gets 3.7
5 0
2 years ago
Read 2 more answers
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